Numerical solution of the two-dimensional space-time diffusion equations
In this paper, the authors present some results form the investigation of the application of the von Neumann method to the study of the stability of linear difference equations derived from two dimensional space-time kinetics equations and the application of the block successive overrelaxation (SOR) method with block Gaussian elimination to the solution of linear difference equations, which are solved by Chebyshev acceleration in the TWIGL and BEAGL programs. In this investigation the results of the new program, called TWISOR, were benchmarked against the computational results obtained by the TWIGL program, using the same computing environment and the same sample problems. For all of the problems considered, the TWISOR program provided accurate results in about one-fourth of the time required by the TWIGL program in homogeneous problems and one-half in heterogeneous problems.
- OSTI ID:
- 5530249
- Report Number(s):
- CONF-881011--
- Journal Information:
- Transactions of the American Nuclear Society; (USA), Journal Name: Transactions of the American Nuclear Society; (USA) Vol. 57; ISSN TANSA; ISSN 0003-018X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
220100* -- Nuclear Reactor Technology-- Theory & Calculation
ACCELERATION
B CODES
BARYONS
BENCHMARKS
COMPUTER CODES
DELAYED NEUTRON PRECURSORS
DELAYED NEUTRONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FISSION NEUTRONS
GAUSSIAN PROCESSES
GROUP THEORY
HADRONS
ISOTOPES
MATHEMATICS
NEUTRON DIFFUSION EQUATION
NEUTRONS
NUCLEONS
NUMERICAL SOLUTION
PHYSICS
RADIOISOTOPES
REACTOR PHYSICS
SPACE DEPENDENCE
STABILITY
T CODES
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS